Control design of linear systems with saturating actuators: A survey

Magdi S. Mahmoud; Mohammed M. Hussain

doi:10.3934/naco.2012.2.413

Article Contents

2012, Volume 2, Issue 2: 413-435. Doi: 10.3934/naco.2012.2.413

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Control design of linear systems with saturating actuators: A survey

Magdi S. Mahmoud^1, and
Mohammed M. Hussain^2,

1.
Systems Engineering Department, King Fahd University of Petroleum and Minerals, P. O. Box 985, Dhahran 31261
2.
Systems Engineering Department, King Fahd University of Petroleum and Minerals, P. O. Box 5067, Dhahran 31261

Received: April 2011

Revised: March 2012

Published: May 2012

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Abstract

In this paper, a survey of the extensive research investigation performed on linear systems subject to saturation including actuator, output and state types is presented. The survey takes into consideration several technical views on the analysis and design procedures leading to global or semi-global stability results and outlines basic assumptions. Research works on the design of linear feedback laws, decentralized controllers are equally emphasized. Results related stability with enlarging the domain of attraction and systems subject to multi-layered nested saturations are provided. Some typical examples are given to illustrate relevant issues.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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